A college admissions officer sampled 131 entering freshmen and found that 43 of them scored more than
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Question:
A college admissions officer sampled 131 entering freshmen and found that 43 of them scored more than 540 on the math SAT. (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 540 on the math SAT. Round the answer to at least three decimal places. (b) Construct a 99.8% confidence interval for the proportion of all entering freshmen at this college who scored more than 540 on the math SAT. Round the answer to at least three decimal places. (c) According to the College Board, 35% of all students who took the math SAT in 2009 scored more than 540. The admissions officer believes that the proportion at her university is also 35%. Does the confidence interval contradict this belief? Explain.
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